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Apr
23
awarded  Good Answer
Mar
30
accepted Closed form for $\int_{-\infty}^\infty\operatorname{sech}(x)\operatorname{sech}(a\, x)\ dx$
Mar
23
reviewed Approve Proving divisibility of $a^3 - a$ by $6$
Mar
22
comment Closed form for ${\large\int}_0^\infty\frac{x\,\sqrt{e^x-1}}{1-2\cosh x}\,dx$
@science When a program gives you a purpoted closed-form antiderivative, the proof is usually easy. You just guess that the form is likely to be correct, and prove it by direct differentiation. :) Calculation of limits may be an interesting part sometimes.
Mar
19
accepted Power towers of $2$ and $3$ - looking for a proof
Mar
19
revised Power towers of $2$ and $3$ - looking for a proof
deleted 1 character in body
Mar
19
revised Power towers of $2$ and $3$ - looking for a proof
added 79 characters in body
Mar
19
revised Power towers of $2$ and $3$ - looking for a proof
added 1 character in body
Mar
19
asked Power towers of $2$ and $3$ - looking for a proof
Mar
8
awarded  Nice Question
Mar
6
reviewed Close Inequality question? If $x \lt y$, prove that $x^2 \lt y^2$
Mar
6
reviewed Leave Open Why does the author prefer function names after arguments?
Mar
6
reviewed Close The number of ways to make $20$ out of coins of given value
Mar
4
comment A closed form for $\int_0^\infty\left(\frac{2^{-x}-3^{-x}}x\right)^adx,\ a\notin\mathbb{Z}^+$
@Kugelblitz No, I have no idea how to approach this question. I'm really okay if you start a bounty on this.
Mar
1
comment A closed form for $\int_0^\infty\left(\frac{2^{-x}-3^{-x}}x\right)^adx,\ a\notin\mathbb{Z}^+$
@Kugelblitz I do not mind at all.
Feb
27
reviewed Close What is an intuitive way to think of the determinate?
Feb
26
reviewed Close Show that for every $n > 1$ there exist $n$ consecutive composite numbers
Feb
22
comment Closed form for $\int_0^\infty\arctan\Bigl(\frac{2\pi}{x-\ln\,x+\ln(\frac\pi2)}\Bigr)\frac{dx}{x+1}$
@tj_ Tell this to Prudnikov, Brychkov, Marichev :)
Feb
22
comment Closed form for $\int_0^\infty\arctan\Bigl(\frac{2\pi}{x-\ln\,x+\ln(\frac\pi2)}\Bigr)\frac{dx}{x+1}$
Nice! I assume $W$ is the Lambert $W$-function, right?
Feb
22
reviewed Close How important is the own talent for research of your PhD supervisor?